GCF and LCM Calculator Logo

What is the Least Common Multiple of 7490 and 7510?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 7490 and 7510 is 5624990.

LCM(7490,7510) = 5624990

LCM Calculator and
and

Least Common Multiple of 7490 and 7510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7490 and 7510, than apply into the LCM equation.

GCF(7490,7510) = 10
LCM(7490,7510) = ( 7490 × 7510) / 10
LCM(7490,7510) = 56249900 / 10
LCM(7490,7510) = 5624990

Least Common Multiple (LCM) of 7490 and 7510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7490 and 7510. First we will calculate the prime factors of 7490 and 7510.

Prime Factorization of 7490

Prime factors of 7490 are 2, 5, 7, 107. Prime factorization of 7490 in exponential form is:

7490 = 21 × 51 × 71 × 1071

Prime Factorization of 7510

Prime factors of 7510 are 2, 5, 751. Prime factorization of 7510 in exponential form is:

7510 = 21 × 51 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 7490 and 7510.

LCM(7490,7510) = 21 × 51 × 71 × 1071 × 7511
LCM(7490,7510) = 5624990